In a 2 quart saucepan stir together flour, salt, pepper, milk and chicken broth. Cook on medium heat, stirring often, until mixture is thick and bubbly. Add 1/4 cup parmesan cheese; cook and stir 2 minutes more.
Cook pasta according to package directions. After approximately 6 minutes, add vegetables and allow to cook for 3 minutes longer. Drain.
While sauce and pasta are cooking, cook garlic and seasoned chicken in skillet on medium heat for 5-6 minutes.
Combine chicken and sauce with pasta and veggies. Garnish with remaining parmesan cheese.